Localized modes in the IR phase of QCD

0584742 - ÚJF 2025 RIV US eng J - Journal Article
Alexandru, A. - Horváth, Ivan - Bhattacharyya, N.
Localized modes in the IR phase of QCD.
Physical Review D. Roč. 109, č. 1 (2024), č. článku 014501. ISSN 2470-0010. E-ISSN 2470-0029
Institutional support: RVO:61389005
Keywords : Quantum chromodynamics * IR dimension function
OECD category: Particles and field physics
Impact factor: 5, year: 2022
Method of publishing: Open access
https://doi.org/10.1103/PhysRevD.109.014501

Infrared (IR) dimension function dIR(A) characterizes the space effectively utilized by QCD quarks at Dirac scale A, and indirectly the space occupied by glue fields. It was proposed that its nonanalytic behavior in thermal infrared phase reflects the separation of QCD system into an IR component and an independent bulk. Here we study the 'plateau modes' in the IR component, whose dimensional properties were puzzling. Indeed, in the recent metal -to -critical scenario of transition to IR phase, this low -dimensional plateau connects the Anderson -like mobility edge AIR = 0 in Dirac spectrum with mobility edges +AA. For this structure to be truly Anderson -like, plateau modes have to be exponentially localized, implying that both the effective distances Leff << Ly and the effective volumes Veff << LdIR in these modes grow slower than any positive power of IR cutoff L. Although y = 0 was confirmed in the plateau, it was found that dIR approximate to 1. Here we apply the recently proposed multidimension technique to the problem. We conclude that a plateau mode of pure -glue QCD at UV cutoff a = 0.085 fm occupies a subvolume of IR dimension zero with probability at least 0.9999, substantiating this aspect of metal -to -critical scenario to a respective degree.
Permanent Link: https://hdl.handle.net/11104/0352588